Stochastic processes in nuclear spaces: quasi-martingales and decompositions
Mathematica slovaca, Tome 55 (2005) no. 3, pp. 271-282
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Classification : 28B05, 60G48
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Brooks, James K.; Candeloro, Domenico; Martellotti, Anna. Stochastic processes in nuclear spaces: quasi-martingales and decompositions. Mathematica slovaca, Tome 55 (2005) no. 3, pp. 271-282. http://geodesic.mathdoc.fr/item/MASLO_2005_55_3_a2/

[1] BROOKS J. K.-DINCULEANU N.: Regularity and the Doob-Meyer decomposition of abstract quasi martingales. In: Stochastic processes, Semin., Princeton, NJ, 1987. Prog. Probab. Stat. 15, Birkhauser, Boston, MA, 1988, pp. 21-63. | MR

[2] BROOKS J. K.-DINCULEANU N.: Stochastic integration in Banach spaces. In: Stochastic processes, Proc. Semin., Vancouver (Can.), 1990. Prog. Probab. 24, Birkhauser, Boston, MA, 1991, pp. 27-127. | MR | Zbl

[3] BROOKS J. K.: Stochastic integration in nuclear spaces. Preprint.

[4] BROOKS J. K.-CANDELORO D.-MARTELLOTTI A.: On finitely additive measures in nuclear spaces. Atti Sem. Mat. Fis. Univ. Modena 46 (1997), 37-50. | MR

[5] BROOKS J. K.-MARTELLOTTI A. : Decomposition theorems for weak quasi Martingales. Boll. Unione Mat. Ital. Sez. B Artie. Ric. Mat. (8) 7 (1993), 937-959. | MR | Zbl

[6] CANDELORO D.-MARTELLOTTI A.: Radon-Nikodym theorems for vector-valued finitely additive measures. Rend. Mat. Appl. (7) 12 (1992), 1071-1086. | MR | Zbl

[7] DIESTEL J.-UHL J. J.: Vector Measures. Amer. Math. Soc, Providence, RI, 1977. | MR | Zbl

[8] DUNFORD N.-SCHWARTZ J. T.: Linear Operators I. General Theory. Pure Appl. Math. (N.Y.) 6, Interscience Publishers, New York-London, 1958. | MR | Zbl

[9] KUSSMAUL A. U.: Stochastic Integration and Generalized Martingales. Pitman, London, 1978. | MR

[10] METIVIER M.-PELLEUMAIL J.: Stochastic Integration. Academic Press, New York, 1980. | Zbl

[11] PIETSCH A.: Nuclear Locally Convex Spaces. Akademie-Verlag, Berlin, 1972. | MR | Zbl

[12] USTUNEL S.: Stochastic integration on nuclear spaces and its applications. Ann. Inst. H. Poincare 18 (1982), 165-200. | MR | Zbl